1

Equivalence Relation

2

Equivalence Relation – Problems

3

Types of Functions

4

Composite Functions, Exercise.1.3 [3(ii), 4]

5

Invertible Function, How to find the Value of Inverse, Exercise.1.3 [5]

6

Exercise.1.3 [8,11,13]

7

Exercise.1.3 [14], Binary Operations; Exercise.1.4 [1(i,iii),2,9(ii)]

8

Exercise.1.4 [9(i,v),11]; Identity Element

9

Exercise 1.1 (2, 3, 4 & 5)

10

Exercise 1.1 ( 6, 7, 9 i, 9 ii)

11

Exercise 1.1 [10( i, ii, iii, iv, v), 15, 16]

12

Exercise1.4 [6(i,ii,iii,iv,v),7,8,12(i,ii),13]

1

Introduction, Properties; Exercise.2.1 [2, 3, 4]

2

Exercise.2.2 [1, 2, 3, 4, 5]

3

Exercise.2.2 [6, 7, 8, 9, 10]

4

Exercise.2.2 [11, 12, 13, 14, 15, 16]

5

Exercise.2.2 [17, 18, 19, 20, 21]

6

Miscellaneous Exercise. [3, 4, 5, 8]

7

Exercise 2.1 (1,5,6,7,8,9,10,11,12,13)

1

Introduction, Types of Matrices, Operations on Matrices.

2

Transpose of a Matrix, Results of Transpose of a Matrix, Exercise. 3.1 [ 1, 2]

3

Exercise. 3.1 [ 4, 5]

4

Exercise 3.1 [6, 7, 9]

1

Exercise 3.2 [1(i, ii, iii, iv, v), 2(i, ii, iii, iv), 3(i, ii, iii)

2

Exercise.3.2 [3 (iv, v, vi), 4, 5]

3

Exercise.3.2 [6, 7 (i, ii), 8, 9]

4

Exercise.3.2 [10, 11, 12 & 13]

5

Exercise.3.2 [14(i, ii)]

6

Exercise. 3.2 [15, 16]

7

Exercise. 3.2 [17, 18]

8

Exercise. 3.3 [ 1(i, ii, iii), 2(i, ii), 3(i, ii) , 4]

9

Exercise 3.3 [5(i, ii), 6(i, ii)]; Concept of Symmetric and Skew Symmetric Matrix

10

Exercise 3.3 [8(i, ii), 9, 12, 10(i)]

11

Exercise 3.3 [10 (iv)]; Ex 3.4 [1]

12

Exercise 3.4 [2, 3, 4, 5, 6]

13

Exercise 3.4 [7, 8, 9, 10, 11]

14

Exercise. 3.4 [12, 13, 14, 15]

1

Introduction To Determinants; Exercise 4.1 [1, 2(i, ii), 3, 4]

2

Exercise 4.1 [5 (i,ii,iii,iv) , 6, 7 (i,ii), 8]

3

Properties of Determinants ; Exercise 4.2(1)

4

Exercise 4.2( 2 TO 5)

5

Exercise 4.2[ 6,7,8 (i,ii)]

6

Exercise 4.2[9,10(i,ii),11(i)]

7

Exercise 4.2[11(ii),12,13,14]

8

Area of triangle and Collinearity; Exercise 4.3 [ 1-(i,ii,iii),2,3(i,ii) ] ; Equation of line joining given two points

9

Exercise 4.3 [ 4(i,ii),5];Minors and Cofactors; Exercise 4.4 [1(i,ii),2(i),3,4]

10

Adjoint of Matrix; Exercise 4.5 (1,2,3,4)

11

Exercise 4.5 (5 to 10)

1

Exercise 4.5 (11 to 14)

2

Exercise 4.5 (15,16)

3

Consistency of system of equations ; Exercise 4.6 (1,2,3,4,5,6)

4

Exercise 4.6 (7,8,9,10,11)

5

Exercise 4.6 (12,13,14)

6

Exercise 4.6 (15);Miscellaneous Exercise (16)

1

Introduction; Properties of Continuity

2

Exercise 5.1 (3-d,4,5,6,7)

3

Exercise 5.1 (8 to 13)

4

Exercise 5.1 (14 to 18, 20)

5

Exercise 5.1 (21 a,b,c)

6

Exercise 5.1 (22,23,24)

7

Differentiability; Exercise 5.3 (1 to 10)

8

Exercise 5.3 (11,13,14,15);Exercise 5.4 (1 to 10)

9

Exercise 5.5 (1 to 4)

10

Exercise 5.5 (5 to 8)

11

Exercise 5.5 (9 to 13)

12

Exercise 5.5 (14,15,16,17a)

13

Exercise 5.6 (1 to 7)

14

Exercise 5.6 (8 to 11); Exercise 5.7 (1 to 5)

15

Exercise 5.7 (6 to 11)

16

Exercise 5.7 (13 to 17)

17

Rolle’s theorem; Exercise 5.8 (1 to 4)

18

Exercise 5.1 (26 to 30)

19

Exercise 5.2 (1 to 9)

1

Exercise 6.3 (18 to 21)

2

Exercise 6.3 (22 to 26)

3

Exercise 6.4 [1 – (i to v)]

4

Exercise 6.4 [1 – (vi to xii)]

5

Exercise 6.4 [1 – (vi to xii),2,3]

6

Exercise 6.4 (4,5,6,7,8)

7

Exercise 6.4 (9) ;Exercise 6.5 [1-(a,b,c,d)]

8

Exercise 6.5 [2 – (i to v)]

9

Exercise 6.5 [3 – (i to iv)]

10

Exercise 6.5 [3 – (v to viii)]

11

Exercise 6.5 [4- (a,b,c),5-(a,b,c)]

12

Exercise 6.5 (5,6,7)

13

Exercise 6.5 (8,9,11)

14

Exercise 6.5 (12 to 14)

15

Exercise 6.5 (15 to 17)

16

Exercise 6.5 (19 to 20)

17

Exercise 6.5 (21,22)

18

Exercise 6.5 (23)

19

Exercise 6.5 (24,25)

20

Exercise 6.5 (27,28,29)

1

Integrals ; Exercise 7.1 (1 to 7)

2

Exercise 7.1 (8,9,12,13,14,15)

3

Exercise 7.1 (16 to 21)

4

Exercise 7.1 (22) ;Exercise 7.2 (1 to 5)

5

Exercise 7.2 (6 to 10)

6

Exercise 7.2 (11 to 17)

7

Exercise 7.2 (18,21 to 26)

8

Exercise 7.2 (27 to 33)

9

Exercise 7.2 (34 to 39); Exercise 7.3 (1,2)

10

Exercise 7.3 (3,5,6)

11

Exercise 7.3 (7 to 10)

12

Exercise 7.3 (11 to 13)

13

Exercise 7.3 (14 to 18)

14

Exercise 7.3 (20,21)

15

Exercise 7.3 (22 to 24); Exercise 7.4(1)

16

Exercise 7.4 (2,4,5,6)

17

Exercise 7.4 (7 to 11)

18

Exercise 7.4 (12 to 14)

19

Exercise 7.4 (15 to 17)

20

Exercise 7.4 (18)

21

Exercise 7.4 (19,20)

22

Exercise 7.4 (21,22)

23

Exercise 7.4(23 to 25)

24

Exercise 7.5 (1 to 3)

25

Exercise 7.5 (4,5)

1

Exercise 7.5 (9,10)

2

Exercise 7.5 (11,12)

3

Exercise 7.5 (13 to 15)

4

Exercise 7.5 (16 to 18)

5

Exercise 7.5 (20 to 23)

6

Exercise 7.6 (1 to 5)

7

Exercise 7.6 (6 to 9)

8

Exercise 7.6 (10 to 14)

9

Exercise 7.6 (15 to 21)

10

Exercise 7.6 (22 to 24); Exercise 7.7 (1,2)

11

Exercise 7.7 (3,4,5,6)

12

Exercise 7.7 (7 to 11)

13

Definite Integrals ; Exercise 7.8(1,2)

14

Exercise 7.8(4)

15

Exercise 7.8(5.6)

16

Exercise 7.9(1 to 8)

17

Exercise 7.9(15 to 18)

18

Exercise 7.9(19,21,22); Exercise 7.10(1)

19

Exercise 7.10(2,3)

20

Exercise 7.10(4,5,7,8)

21

Exercise 7.11(2,3,4,5)

22

Exercise 7.11(7,8,9,10)

23

Exercise 7.11(15,17,18,19,20,21)

1

Introduction

2

Exercise 8.1(1,2,3)

3

Exercise 8.1(8,9,10)

4

Exercise 8.1(11,12,13); Exercise 8.2(1)

5

Exercise 8.2(2,3)

6

Exercise 8.2(4,6,7)

1

Introduction

2

Exercise 9.4(11)

3

Exercise 9.4(12,13,14,16)

4

Exercise 9.2(1,2,3,4,5,6)

5

Exercise 9.2(7,8,9,10,11,12)

6

Exercise 9.3(1,2,5,10,11,12)

7

Exercise 9.4(1,2,3,4,5,6,7,9)

8

Exercise 9.4(17,18,19)

9

Exercise 9.4(22,23);Exercise 9.5(1)

10

Exercise 9.5(2,3,4)

11

Exercise 9.5(5,6,7)

12

Exercise 9.5(8,9,10)

13

Exercise 9.5(12,17)

14

Exercise 9.6(1,2,3,5)

15

Exercise 9.6(6,7,8,10)

16

Exercise 9.6(11,12,13,14,15)

17

Exercise 9.6(16,17,18,19)

1

Introduction

2

Exercise 10.2 (2,3,4,6,7,9,10)

3

Exercise 10.2 (12 to 18)

4

Exercise 10.3 (1 to 7)

5

Exercise 10.3 (8 to 15)

6

Exercise 10.3 (18); Exercise 10.4 (1,2,3,5)

7

Exercise 10.4 (6,7,9,10,11,12)

1

Introduction

2

Exercise 11.1(1,2,3,4)

3

Exercise 11.1(5);Exercises 11.2(1,2,3,4)

4

Exercise 11.2(6,7,12)

5

Exercise 11.2(13,14,15)

6

Exercise 11.2(16,17);Exercise 11.3(1)

7

Exercise 11.3(3,4,7)

8

Exercise 11.3(8,9,10)

9

Exercise 11.3(11,12,13)

10

Exercise 11.3 [14(a,b,c,d)]

1

Introduction

2

Exercise 12.1(4,5)

3

Exercise 12.1(6,7)

4

Exercise 12.2(1,2)

5

Exercise 12.2(3,4)

6

Exercise 12.2(5)

7

Exercise 12.2(6,7)

8

Exercise 12.2(8)

9

Exercise 12.2(9,11)

1

Introduction

2

Exercise 13.1(1 to 5)

3

Exercise 13.1[6(i,ii)]

4

Exercise 13.1[6(iii),8,9]

5

Exercise 13.1(10,11)

6

Exercise 13.1(12,14,15); Exercise 13.2(1,2)

7

Exercise 13.2(3,5,8,11)

8

Exercise 13.2(10,16)

9

Exercise 13.2(6,7,9,12,15)

10

Exercise 13.3(1,3,4)

11

Exercise 13.3(5,6,7)

12

Exercise 13.3(8,9,10,11)

13

Exercise 13.3(12,13); Exercise 13.4(1,2,3)

14

Exercise 13.4(4,6)

15

Exercise 13.4(9,11,14)

16

Exercise 13.5(1,9,12,13)